Answer:
Smaller Angle = 60°
Larger Angle = 120°
Step-by-step explanation:
Step 1:
2x + x = 180°
Step 2:
3x = 180°
Step 3:
x = 60°
Step 4:
60° times 2 = 120°
Answer:
Smaller Angle = 60°
Larger Angle = 120°
Hope This Helps :)
(10 pts) Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.
Answer:
We conclude that the true average lifetime is smaller than what is advertised.
Step-by-step explanation:
The complete question is: Light bulbs of a certain type are advertised as having an average lifetime of 800 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 21 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using SPSS, resulting in the accompanying output.
Sample Mean Sample Standard Deviation
Lifetime 738.44 38.30
Test the appropriate hypothesis for this study (i.e., state the hypotheses, compute the test statistics, compute the p-value, and make a conclusion). What conclusion would be appropriate for a significance level of 0.05?
We are given that Light bulbs of a certain type are advertised as having an average lifetime of 800 hours.
A potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised.
Let [tex]\mu[/tex] = true average lifetime of the light bulbs.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu \geq[/tex] 800 hours {means that the true average lifetime is greater than or equal to what is advertised}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] < 800 hours {means that the true average lifetime is smaller than what is advertised}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean lifetime = 738.44 hours
s = sample standard deviation = 38.30 hours
n = sample of bulbs = 21
So, the test statistics = [tex]\frac{738.44-800}{\frac{38.30}{\sqrt{21} } }[/tex] ~ [tex]t_2_0[/tex]
= -7.36
The value of t-test statistics is -7.36.
Also, the P-value of test-statistics is given by;
P-value = P([tex]t_2_0[/tex] < -7.36) = Less than 0.05% {from t-table}
Since the P-value of our test statistics is less than the level of significance of 0.05, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.
Therefore, we conclude that the true average lifetime is smaller than what is advertised.
Which sets of numbers does -3/4 belong to
Answer:
It belongs to the... RATIONAL number set
A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.
It would be 13.50 because 50% off of 18$ is 9$ but it’s not 50% off itS 25% off so If you take the 50% Off price of 9$ and add 4.50 (One more 1/4th) you get $13.50
Given: <1 and <2 are supplementary, and <2 and <3 are supplementary. Prove: <1 is congruent to <3
Step-by-step explanation:
If ∠1 and ∠2 are supplementary, then m∠1 + m∠2 = 180° (1).
If ∠2 and ∠3 are supplementary, then m∠2 + m∠3 = 180° (2).
From (1) we have
m∠1 + m∠2 = 180° /subtract m∠1 from both sides
m∠2 = 180° - m∠1
substitute it to (2)
(180° - m∠1) + m∠3 = 180°
180° - m∠1 + m∠3 = 180° /subtract 180° from both sides
- m∠1 + m∠3 = 0 /add m∠1 to both sides
m∠3 = m∠1 ⇒ m∠1 = m∠3 ⇒ ∠1 ≅ ∠3
Find the slope of a line parallel to the line:
5 x plus y equals 15
Answer:
the answer is y=-5
Which of the following could be a rational number? A. the sum of two irrational numbers B. the product of two irrational numbers C. the sum of a rational number and an irrational number D. the product of a rational number and an irrational number
Answer:
B. the product of two irrational numbers
Step-by-step explanation:
To be a rational number, we need to multiply two irrational numbers
An example would be
sqrt(2) * sqrt(2) = sqrt(4) = 2
Answer:
The product of two irrational numbers
Step-by-step explanation:
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expression given the replacement values
Answer:
207
Step-by-step explanation:
[tex]w^{2}[/tex]=9, but since there is a negative sign, it will be negative 9.
-11(uv) is -11(-8), and that equals 88.
2[tex]v^{2}[/tex] is 2(64), which equals 128.
-9+88+128 is 207.
Hope that helps!
Divide: 21 and 4,291,678
Answer: assuming you mean divide 4mil by 21, the answer is 204365.619
Step-by-step explanation:
Answer:
4.9x10⁻⁶
Step-by-step explanation:
21 / 4291678 = 4.9x10⁻⁶
Are the functions inverses? Why or why not?
Answer:
The answer is not an inverse function.
Step-by-step explanation:
The inverse function does not reverse. In other words, f(x) = x-5/10 and h(x) =10x+5 does not mirror.
help please! Will mark you as Brainliest!
Answer:
21
Step-by-step explanation:
James went on a fishing trip.
This angle has all of the following names, except:
Answer:
its c. <vwx
Step-by-step explanation:
i got it right
Sam is 4 times as old as Allie. Write an equation to model this situation. a) s=4A b) A=4S c) S= 4+A d) A= 4+S
Answer:
a) s=4A
Step-by-step explanation:
If you read the equation out loud it may help!
Sam=4 times Allie
Sams age Equals 4 times the age of Allie
The sum of three numbers is 49. The second number is five less than three times the third number. If the first number is twice the amount of the third number, what is the value of the second number?
Answer:
(x, y, z) → (18, 22, 9)
Step-by-step explanation:
sum of three numbers is 49
x + y + z = 49
second number is 5 less than three times the third number
y = 3z - 5
first number is twice amount of third number
x = 2z
set of equations
x + y + z = 49
y = 3z - 5
x = 2z
plug in 2nd and 3rd equation into first
(2z) + (3z - 5) + z = 49
combine like terms
2z + 3z - 5 + z = 49
6z - 5 = 49
add 5 to both sides
6z = 54
divide by 6
z = 9
plug z into 2nd and 3rd equations
y = 3(9) - 5
y = 27 - 5
y = 22
x = 2(9)
x = 18
check:
18 + 22 + 9 = 49
(x, y, z) → (18, 22, 9)
what's 198.040 divided by 98.100 and plus 100.000 times 4.300.
Answer:
868.065
Step-by-step explanation:
198.040 ÷ 98.1 + 100 x 4.3
= 2.0188 + 100 x 4.3
= 201.8756 x 4.3
= 868.065
Steps to solve:
198.040 ÷ 98.1
~Divide
2.0187563... or 2.02
Steps to solve:
100 * 4.3
~Multiply
430
Best of Luck!
ILL GIVE YOU BRAINLIST !!! HAVE TO GET IT RIGHT !!
Evaluate the expression given the replacement values
Answer:
8
Step-by-step explanation:
[tex]\frac{2}{5} (1+24) + \frac{1}{2} (2-6)[/tex]=
[tex]\frac{2}{5} (25)+ \frac{1}{2} (-4)[/tex]=
[tex]10-2=8[/tex]
3(2x-4)=4(4x-1) can someone please help ?
Answer:
x=-4/5
Step-by-step explanation:
3(2x-4)=4(4x-1)
6x-12=16x-4
-10x=8
x=-8/10
x=-4/5
Please help me, thank you.
Answer: 5/9 is ur answer
Step-by-step explanation:
Answer: 5/9
Step-by-step explanation:
5÷9 is 0.555 repeating (which is why there is a line at the top of the 5).
Which equation represents the line that passes
through the point (1,5) and has a slope of -2?
1) y = -2x + 7
2) y = -2x + 11
3) y = 2x-9
4) y = 2x + 3
Answer:
Step-by-step explanation:
y - 5 = -2(x - 1)
y - 5 = -2x + 2
y = -2x + 7
Option 1 is the answer
which ratio is less then 15/24 a.1/2 b.7/8 c. 19/24 d. 6/8
Answer:
A. 1/2
Step-by-step explanation:
So 15/24 = 0.625
therefore you need to convert all the fractions into decimals and determine which decimal is less than 0.625
a) 0.5 ------ding ding ding correct answer :)
b) 0.875
c) 0.79
d) 0.75
If this helped, please don't forget to give me brainliest!
4/5, √9, -0.95, √32/8, 2.9, - √6 PLEASE order from least to greatest
Answer:
-√6 -0.95 √32/8 4/5 2.9 √9
Step-by-step explanation:
4/5, √9, -0.95, √32/8, 2.9, - √6
4/5 = 0.8
√9 = 3
√32/8 = 4√2 / 8 = √2/2 = 0.707
-√6 = -2.449
-√6 -0.95 √32/8 4/5 2.9 √9
What is the base of a triangle with an area of 207 in.² and a height of 18 inches
We just need to divide so we can find the base length of the triangle:
207 / 18 = 11.5
Therefore, the base length of the triangle is 11.5 inches.
Best of Luck!
Answer:
23 inches
Step-by-step explanation:
A = [tex]\frac{1}{2}[/tex] bh
207 = [tex]\frac{1}{2}[/tex] b x 18
[tex]\frac{207}{9}[/tex] = b
b = 23
Two consecutive EVEN numbers have a sum of 30. What are the numbers?
Answer:
14 and 16
Step-by-step explanation:
Consecutive even numbers are even numbers that follow each other from smallest to biggest for example 2,4,6,8 are consecutive even numbers. So the consecutive even numbers that have a sum of 30 are 14 and 16 (14+16=30).
HOPE IT HELPED
PLEASE HELP RIGHT AWAY: Set the left side of this equation equal to f(x) and the right side equal to g(x) . Then graph y=f(x) and y=g(x) on the same coordinate grid. (x+1)^2-2=2/x
Answer:
Step-by-step explanation:
heres the answer
What is the solution to this equation?
6x = 36
O A. x = 30
O B. x = 216
C. x = 6
O D. x= 4
Answer:
C
Step-by-step explanation:
6x=36
6x/6 cross out
36/6=6
×=6
so the answer is C
On a number line, point A is at coordinate 1. Point B is at coordinate-5. Find the
coordinate that is the midpoint from A to B.
Answer:
-2
Step-by-step explanation:
Midpoint is the half of the sum of endpointsPoint A = 1
Point B = - 5
Midpoint :
(1 + (-5))/2 = -4/2 = -2A randomized study compared two different techniques for improving one's memory. The treatment group using Technique A reported that the subjects were able to memorize a mean of 8.9 words. The treatment group using Technique B reported that the subjects were able to memorize a mean of 12.1 words. To determine if the results are significant, the data are re-randomized and the differences of the means are shown in the dot plot. What is the best conclusion to make based on the data?
Answer:
The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Step-by-step explanation:
Randomization is the standard used to compare the observational study and balance the factors between the treatment groups and eliminate the variables' influence. Some studies analyze that the treatment in the randomization calculates the appropriate number of the subjects as the treatment to memorize is 8.9, and the treatment for the B is 12.1 words.
The mean difference is not significant because the re-randomization shows that it is within the range of what could happen by chance.
The treatment group using technique A reported a mean of 8.9 words.
The treatment group using technique B reported a mean of 12.1 words.
After the data are re-randomized, the differences of means are shown in the dot plot.
The result is significant because the re-randomization show that it is outside the range. The best conclusion that can be made based on the data on the dot plot is:
The mean difference is not significant because the re-randomization show that it is within the range of what could happen by chance.
Answer:
The answer is actually
-The difference of the means is significant because the re-randomizations show that it is outside the range of what could happen by chance.
*just took the test hope this helps:)*
297,060 + 0.0004839 =
Answer in Scientific Notation
Answer:
2.970600004839 × 10^5
Step-by-step explanation:
First, we add up these 2 numbers.
297,060 + 0.0004839 = 297060.0004839
Then, we convert that into scientific notation.
297060.0004839 = 2.970600004839 × 10^5
Finally, we check if it's right.
10^5 = 100000
2.970600004839 * 100000 = 297060.0004839
Hope this helps.
A survey was given to 277 people asking whether people like dogs and/or cats. 126 said they like dogs 112 said they like cats 90 said they don't like cats or dogs. How many said they liked both cats and dogs?
In division, does the big or small letter go first?
Answer: Big number
Step-by-step explanation:
In division, does the big or small letter go first?
Answer:
In division, the big one go first.
Step-by-step explanation:
So, when you do division, you can put the big or small ones first but, preferably the big ones because it will be easier to solve the equation.